in the military what is the proper ranking system from private up?

Question

from bottom to top...

Answer 1

Private
Private First Class
Specialist
Corporal
Sergeant
Staff Sergeant
Sergeant First Class
Master Sergeant
First Sergeant
Sergeant Major
Command Sergeant Major
Sergeant Major of the Army

.

Answer 2

Canadian Forces NCMs
Private recruit
Private
Corporal
Master Corporal
Sergent
Warrant Officer
Master Warrant officer
Chief Warrant officer

Junior Officers
Officer Cadet
Second Lieutenant (Pronounced Lefttenant)
Lieutenant
Captain

Senior Officers
Major
Lieutenant-Colonel
Colonel

General Officers
Brigadier-General
Major-General
Lieutenant-General
General

Answer 3

Private
Private First Class
Corporal
Specialist
Sergeant
Staff Sergeant
Sergeant First Class
Master Sergeant
First Sergeant
Sergeant Major
Command Sergeant Major
Sergeant Major of the Army

That is Army enlisted rank. The web site also has Officer rank. If you need Navy, Marines, or Air Force, let me know

Answer 4

Depeding on Service, I will focus on the US Army and USMC since you used "Private" (USAF E1 = Airman - O-10 General, USN E1 = Seaman - O-10 Admiral)

USMC
E-1 Private (PVT)
E-2 Private First Class (PFC)
E-3 Lance Corporal (LCPL)
E-4 Corporal (CPL)
E-5 Seargent (SGT)
E-6 Staff Seargent (SSGT)
E-7 Gunnery Seargent (GYSGT)
E-8 Master Seargent (MSGT)
E-9 Master Gunnery Seargent (MGSGT)
*E-8 First Seargent (1STSGT)
*E-9 Seargent Major (SGTMAJ) * denotes leadership billets

O-1 Second Lieutenant 2NDLT
O-2 First Lieutenant 1STLT
O-3 Captain CAPT
O-4 Major MAJ
O-5 Lieutenant Colonel LTCOL
O-6 Colonel COL
O-7 Brigader General BGEN
O-8 Major General MGEN
O-9 Lieutenant General
O-10 General GEN

US Army
E-1 Private (PVT)
E-2 Private (PV1)
E-3 Private First Class (PFC)
E-4 - E-8 Specialist (SPEC 4-8)
*E-4 Corporal (CPL)
*E-5 Seargent (SGT)
E-6 Staff Seargent (SSG)
E-7 Seargent First Class (SFC)
*E-8 First Seargent (1SG)
*E-9 Command Seargent Major (CSM)
* denotes leadership billets

O-1 Second Lieutenant 2LT
O-2 First Lieutenant 1LT
O-3 Captain CPT
O-4 Major MAJ
O-5 Lieutenant Colonel LTC
O-6 Colonel COL
O-7 Brigader General BGN
O-8 Major General MGN
O-9 Lieutenant General LTG
O-10 General GEN

Answer 5

For what branch of the military?

U.S. military enlisted ranks

E-1 E-2 E-3 E-4 E-5 E-6 E-7 E-8 E-9
Air Force: AB Amn A1C SrA SSgt TSgt MSgt SMSgt CMSgt - CCM - CMSAF
Army: PV1 PV2 PFC SPC - CPL SGT SSG SFC MSG - 1SG SGM - CSM - SMA
Marine Corps: Pvt PFC LCpl Cpl Sgt SSgt GySgt MSgt - 1st Sgt MGySgt - SgtMaj - SMOMC
Navy: SR SA SN PO3 PO2 PO1 CPO SCPO MCPO - CMCPO - MCPON
Coast Guard: SR SA SN PO3 PO2 PO1 CPO SCPO MCPO - CMCPO - MCPOCG